Chapter 1 •Short-Term Finance and Planning McGraw-Hill/Irwin Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 1 – Index of Sample Problems • • • • • • • • • • • Slide # 02 - 03 Slide # 04 - 08 Slide # 09 - 10 Slide # 11 - 12 Slide # 13 - 14 Slide # 15 - 16 Slide # 17 - 18 Slide # 19 - 20 Slide # 21 - 22 Slide # 23 - 24 Slide # 25 - 28 Sources and uses of cash Operating and cash cycles Receivables schedule Payables schedule Disbursements schedule Net cash inflow Cumulative surplus Short-term financial plan Compensating balance Cost of factoring Collections 2: Sources and uses of cash Account Beginning Balance Ending Balance Cash 444 460 Accounts receivable 996 980 Inventory 1,387 1,405 Fixed assets 4,813 5,209 Accounts payable 1,042 1,234 250 500 Long-term debt 1,500 1,200 Common stock 2,900 3,000 Retained earnings 1,948 2,120 Note payable Source of Cash Use of Cash U S 3: Sources and uses of cash Account Beginning Balance Ending Balance Cash 444 460 Accounts receivable 996 980 Inventory 1,387 1,405 U Fixed assets 4,813 5,209 U Accounts payable 1,042 1,234 S 250 500 S Long-term debt 1,500 1,200 Common stock 2,900 3,000 S Retained earnings 1,948 2,120 S Note payable Source of Cash Use of Cash U S U 4: Operating and cash cycles Average accounts receivable $ 2,080 Average inventory 2,400 Average accounts payable 1,135 Sales Cost of goods sold 15,600 9,761 Given the information in the table, compute the operating and cash cycles. 5: Operating and cash cycles Credit sales Receivable s turnover Average accounts receivable $15,600 $2,080 7.5 365 days Re ceivables period Receivable s turnover 365 days 7.5 48.7 days 6: Operating and cash cycles Cost of goods sold Average inventory $9,761 $2,400 4.0671 Inventory turnover 365 days Inventory turnover 365 4.0671 89.7 days Inventory period 7: Operating and cash cycles Cost of goods sold Average accounts payable $9,761 $1,135 8.6 Payables turnover 365 days Payables turnover 365 days 8.6 42.4 days Payables period 8: Operating and cash cycles Operating cycle Inventory period Receivable s period 89.7 48.7 138.4 days Cash cycle Operating cycle - Payables period 138.4 - 42.4 96 days 9: Receivables schedule Q1 Beginning receivables 290 Sales 300 Q2 Q3 Q4 270 360 420 Cash collections Ending receivables The receivables period is 60 days. Assume that each month has 30 days. Can you complete this table? 10: Receivables schedule Q1 Q2 Q3 Q4 Beginning receivables 290 200 180 240 Sales 300 270 360 420 Cash collections 390 290 300 380 Ending receivables 200 180 240 280 Q1 collection s $290 30/90(300) $390 Q2 collection s 60/90($300 ) 30/90($270 ) $290 Q3 collection s 60/90($270 ) 30/90($360 ) $300 Q4 collection s 60/90($360 ) 30/90($420 ) $380 Q4 ending receivable s 60/90($420 ) $280 11: Payables schedule Sales Beginning payables Q1 Q2 Q3 Q4 300 270 360 420 90 Purchases Payments 171 Ending payables Sales for Q1 of the following year are $310. Purchases are equal to 60% of the next quarter sales. The payables period is 45 days. Assume that each month has 30 days. 12: Payables schedule Q1 Q2 Q3 Q4 300 270 360 420 90 81 108 126 Purchases 162 216 252 186 Payments 171 189 234 219 81 108 126 93 Sales Beginning payables Ending payables Sales for Q1 next year = $310 Q1 purchases = .6($270) = $162 Q2 purchases = .6($360) = $216 Q3 purchases = .6($420) = $252 Q4 purchases = .6($310) = $186 Q1 payments = $90 + 45/90($162) = $171 Q2 payments = 45/90($162)+ 45/90($216) = $189 Q3 payments = 45/90($216) + 45/90($252) = $234 Q4 payments = 45/90($252) + 45/90($186) = $219 13: Disbursements schedule Payment of accounts Wages, taxes, other expenses Q1 Q2 Q3 Q4 171 189 234 219 70 85 90 110 80 35 12 12 Capital expenditures Long-term financing expenses Total cash disbursements 12 12 14: Disbursements schedule Payment of accounts Wages, taxes, other expenses Q1 Q2 Q3 Q4 171 189 234 219 70 85 90 110 80 35 12 12 12 12 253 366 371 341 Capital expenditures Long-term financing expenses Total cash disbursements 15: Net cash inflow Q1 Q2 Q3 Q4 Collections 390 290 300 380 Disbursements 253 366 371 341 Net cash inflow What is the net cash inflow for each quarter? 16: Net cash inflow Q1 Q2 Q3 Q4 Collections 390 290 300 380 Disbursements 253 366 371 341 Net cash inflow 137 -76 -71 39 17: Cumulative surplus Q1 Beginning cash balance Net cash inflow Cumulative surplus (deficit) Can you complete this table? Q3 Q4 -76 -71 39 20 137 Ending cash balance Minimum cash balance Q2 -20 18: Cumulative surplus Q1 Q2 Q3 Q4 20 157 81 10 Net cash inflow 137 -76 -71 39 Ending cash balance 157 81 10 49 Minimum cash balance -20 -20 -20 -20 Cumulative surplus (deficit) 137 61 -10 29 Beginning cash balance In which quarters does the firm have surplus funds? In which quarter does the firm need to borrow funds? 19: Short-term financial plan Assume amounts are in thousands Beginning cash balance Net cash inflow Q1 New short-term borrowing --- Interest -.9 Short-term borrowing repaid Q3 Q4 -76.0 -71.0 39.0 -20.0 -20.0 -20.0 20.0 137.0 12% annual rate Q2 -30.0 Ending cash balance Minimum cash balance -20.0 Cumulative surplus (deficit) Beginning short-term borrowing Change in short-term debt Ending short-term debt 30.0 20: Short-term financial plan Q1 Q2 Q3 Q4 20.0 126.1 50.1 20.0 137.0 -76.0 -71.0 39.0 New short-term borrowing --- --- 40.9 --- Interest on short-term borrowing -.9 --- --- -1.2 Short-term borrowing repaid -30.0 --- --- -37.8 Ending cash balance 126.1 50.1 20.0 20.0 Minimum cash balance -20.0 -20.0 -20.0 -20.0 Cumulative surplus (deficit) 106.1 30.1 0.0 0.0 30.0 0.0 0.0 40.9 -30.0 0.0 40.9 -37.8 0.0 0.0 40.9 3.1 Beginning cash balance Net cash inflow Beginning short-term borrowing Change in short-term debt Ending short-term debt 21: Compensating balance You have a $50,000 line of credit with your local bank to cover your quarterly cash needs. The loan terms have a 5% compensating balance requirement. How much will you have to borrow if you need to net $20,900? What is the effective interest rate of the loan if the stated rate is 8% and the loan is for one year? 22: Compensating balance Net proceeds (1 compensati ng balance requiremen t ) Amount borrowed $20,900 (1 - .05) Amount borrowed $20,900 .95 Amount borrowed $22,000 Amount borrowed Interest paid Amount borrowed $1,760 $20,900 Effective interest rate Interest .08 $22,000 $1,760 .0842 8.42% 23: Cost of factoring Your firm has average receivables of $990 and a 60 day receivables period. You factor your receivables at a rate of 2.5%. What is the effective annual rate of your factoring program? 24: Cost of factoring .025 Interest rate for 60 days 1 - .025 .025641 Annual percentage rate R N 365 60 .025641 6.08333 .15598 .025641 15.60% Effective annual rate (1 R) N 1 (1 .025641) 6.08333 1 1.16651 1 .16651 16.65% 25: Collections Your projected sales are: Jan $800 Feb $720 Mar $940 You collect 50% in the month of sale, 40% in the month following the month of sale and 8% in the second month following the month of sale. What is the amount of your March collections? 26: Collections March collections: 50% of March sales: 40% of February sales: 8% of January sales: .50 $940 = $470 .40 $720 = $288 .08 $800 = $ 64 Total: $822 27: Collections Your projected sales are: Q1 $900 Q2 $880 Q3 $970 Your receivables period is 38 days. Assume every quarter has 90 days. Assume sales occur evenly throughout the quarter. What is the amount of your Q2 collections? 28: Collections Q2 collections: From prior quarter: From current quarter: (38/90) $900 = $380 (90 - 38)/90 $880 = $508 Total: $888